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Finding the Fourth Proportional to 316,648.56, 474,969.76 and 136,861.14

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Solution

The fourth proportional to 316,648.56, 474,969.76 and 136,861.14 is: 205,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,648.56 : 474,969.76 = 136,861.14 : x
  2. Step 2: Convert to fraction form
    316,648.56/474,969.76 = 136,861.14/x
  3. Step 3: Cross multiply
    316,648.56x = 474,969.76 × 136,861.14
  4. Step 4: Simplify right side
    316,648.56x = 65,004,902,819.13
  5. Step 5: Solve for x
    x = 65,004,902,819.13/316,648.56
  6. Step 6: Final answer
    x = 205,290.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.